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WHAT IS A VENN DIAGRAM?
VENN DIAGRAMS
“VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set into a circle or circles.”
Ric Pimentel & Terry Wall,IGCSE Mathematics.
Cambridge, 1997, p. 32
VENN DIAGRAMS
“VENN DIAGRAMS are the principal way
of showing sets
diagrammatically. The method consists primarily of entering the
elements of a set into a circle or circles.”
Ric Pimentel & Terry Wall,IGCSE Mathematics.
Cambridge, 1997, p. 32
What is a SET?
What are ELEMENTS?
VENN DIAGRAMS
SETS: a defined group of objects or symbols.ELEMENTS: objects or symbols inside a SET.
WHAT NAME WOULD YOU GIVE TO THE FOLLOWING SET?
PEN
PENCIL
CALCULATOR
BOOK
NOTEBOOK
LIST ALL THE ELEMENTS OF THIS SET
PEN
PENCIL
CALCULATOR
BOOK
NOTEBOOK
LIST ALL THE ELEMENTS OF THIS SET
PEN
PENCIL
CALCULATOR
BOOK
NOTEBOOK
ELEMENTS:• pen• book• calculator• pencil• notebook
THIS IS A SET THAT DESCRIBES THINGS THAT YOU CAN USE TO WRITE:
PEN
PENCIL
MARKER
CRAYON
COLORS
THIS TWO ELEMENTS ARE ALSO ELEMENTS OF THE PREVIOUS SET!!
PEN
PENCIL
MARKER
CRAYON
COLORS
Let’s call the PURPLE SET “SET A”, and the GREEN SET “SET B”.
PEN
PENCIL
CALCULATOR
BOOK
NOTEBOOK
MARKER
CRAYON
COLORS
A B
List all the elements of A.
PEN
PENCIL
CALCULATOR
BOOK
NOTEBOOK
MARKER
CRAYON
COLORS
A B
List all the elements of A.
ELEMENTS:• pen• book• calculator• pencil• notebook
List all the elements of B.
PEN
PENCIL
CALCULATOR
BOOK
NOTEBOOK
MARKER
CRAYON
COLORS
A B
List all the elements of B.
ELEMENTS:• pen• pencil• marker• crayon• colors
USING “SET NOTATION”
A = {pen, book, calculator, pencil, notebook}
B = {pen, pencil, marker, crayon, colors}
USING “SET NOTATION”
A = {pen, book, calculator, pencil, notebook}
B = {pen, pencil, marker, crayon, colors}
KEYS
CAPITAL LETTER
COMMA
List all the elements of the intersection (and) of A and B and
of the union (or) of A and B.
PEN
PENCIL
CALCULATOR
BOOK
NOTEBOOK
MARKER
CRAYON
COLORS
A B
List all the elements that are not in A (A complement).
PEN
PENCIL
CALCULATOR
BOOK
NOTEBOOK
MARKER
CRAYON
COLORS
A B
List all the elements that are not in B (B complement).
PEN
PENCIL
CALCULATOR
BOOK
NOTEBOOK
MARKER
CRAYON
COLORS
A B
